In a large mixing bowl, whisk together the mayonnaise, red wine vinegar, garlic salt, black pepper, oregano, and red pepper flakes until smooth and creamy.
Add the cooked and cooled tortellini to the bowl and gently toss to coat.
Add the pepperoncini, Parmesan cheese, red onion, cherry tomatoes, pepperoni, salami, and ham.
Using a large spoon or spatula, gently toss until everything is evenly combined and well coated.
Cover and refrigerate for at least 1 hour to allow the flavors to blend.
Before serving, give the salad a quick stir and serve cold.